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Characterization of Anisotropic Leaky Mode Modulators for Holovideo
09:36

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Published on: March 19, 2016

Complex coupled-mode theory for optical waveguides.

Wei-Ping Huang1, Jianwei Mu

  • 1Department of Electrical and Computer Engineering, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada. huang@ece.mcmaster.ca

Optics Express
|April 8, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a complex coupled-mode theory to unify guided and radiation fields in optical waveguides. This novel approach simplifies analysis of structures like Bragg gratings, offering accurate results without complex radiation modes.

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Area of Science:

  • Electromagnetics and Optics
  • Waveguide Theory
  • Computational Physics

Background:

  • Analyzing radiation fields in optical waveguides traditionally requires complex methods.
  • Existing models struggle to unify guided and radiation modes efficiently.
  • Bragg gratings in slab waveguides present unique challenges for mode analysis.

Purpose of the Study:

  • To develop a unified complex coupled-mode formulation for guided and radiation fields.
  • To discretize continuous radiation modes into manageable complex modes.
  • To simplify the analysis of optical waveguide structures, including Bragg gratings.

Main Methods:

  • A coupled-mode formulation representing radiation fields as discrete complex modes.
  • Utilizing perfectly matched boundary (PML) and perfectly reflecting boundary (PRB) conditions.
  • Discretizing continuous radiation modes into complex quasi-leaky and PML modes.

Main Results:

  • The complex coupled-mode formulation effectively unifies guided and radiation fields.
  • PML parameters preserve guided modes while discretizing radiation modes.
  • Analytical solutions are achievable by identifying phase-matching conditions between complex modes.

Conclusions:

  • The complex coupled-mode theory provides a straightforward and unified treatment of guided and radiation fields.
  • The method is validated for Bragg gratings in slab waveguides using rigorous mode-matching.
  • This approach yields highly accurate results by considering nearly phase-matched modes.